18.X.1. Definition

Try these first

1. 1.

   What is the Binomial Distribution used for?

   Hint

   Think about the outcomes in trials.

2. 2.

   Define a Bernoulli Trial.

   Hint

   Consider a coin flip.

3. 3.

   What does the Binomial Distribution model?

   • Probability of failure
   • Number of successes in trials
   • Expected value of random variable

   Hint

   What are we counting in such a distribution?

4. 4.

   Is variance of a binomial distribution dependent on the probability of success?

   • True
   • False

   Hint

   Consider the formula for variance.

5. 5.

   A drug manufacturer claims that 95% of their products pass quality control. If a supermarket tests 10 products, what is the probability that at least 8 pass?

   Hint

   Remember to sum the probabilities for at least k successes.

6. 6.

   You conduct an experiment that involves rolling a die 12 times. What is the probability of rolling a five exactly 3 times?

   Hint

   Identify n, k, and p before applying the formula.